In the present paper: 1) we define nB-algebra $(Q;B,\mathbf{e})$ of the type $\langle n,n-2\rangle$, so that (among others) for $n=2$ $(Q;B,\mathbf{e})$ is a $B$-algebra; and 2) $nB$-algebra $(Q;B,\mathbf{e})$ is described as an $n$-group $(Q;A)$.